Experiments in Mathematics
Using Maple
A Computer Lab Book
For Schools and Home Computers
C.T.J. Dodson and E.A. Gonzalez
University of Toronto
To be published by Springer-Verlag, Heidelberg and New York, 1995.
ISBN 3-540-59284-9
Inquiries can be sent to dodson@ecf.utoronto.ca or
gonzale@random.chem-eng.utoronto.ca
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This directory contains the following material:
ExpMath.doc..........This file describing the various files in this
directory. The main subdirectories are PreCalc and
Calculus. The files contained in these
subdirectories
are listed below.
ExpMath.ps...........A postscript file of the cover, preface, and table
of
contents of Experiments in Mathematics using Maple.
PreCalc/.............Directory of worksheets from Part 1 (Pre-Calculus)
of
Experiments in Mathematics Using Maple
Calculus/............Directory of worksheets from Part 2 (Calculus) of
Experiments in Mathematics Using Maple
ExpMath.tar..........Tar file containing all of the above.
Detailed Directory Contents:
PreCalc/answers/
EM1_A2.ms....answers
EM1_A3.ms....answers
EM1_A4.ms....answers
EM1_A5.ms....answers
EM1_A6.ms....answers
EM1_A7.ms....answers
EM1_A8.ms....answers
EM1_A9.ms....answers
EM1_A10.ms...answers
EM1_A11.ms...answers
EM1_A12.ms...answers
EM1_A13.ms...answers
EM1_A14.ms...answers
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PreCalc/material/
EM1_1.ms.....Chapter 1 Introduction to Maple
EM1_2.ms.....Chapter 2 Functions
EM1_3.ms.....Chapter 3 Quadratic Functions
EM1_4.ms.....Chapter 4 Solving Quadratic Equations
EM1_5.ms.....Chapter 5 Polynomial Functions
EM1_6.ms.....Chapter 6 Exponential Functions
EM1_7.ms.....Chapter 7 Logarithmic Functions
EM1_8.ms.....Chapter 8 Circular Functions
EM1_9.ms.....Chapter 9 Trigonometry
EM1_10.ms....Chapter 10 Similar Figures
EM1_11.ms....Chapter 11 Circles and Spheres
EM1_12.ms....Chapter 12 Loci
EM1_13.ms....Chapter 13 Sequences and Series
EM1_14.ms....Chapter 14 Statistics and Probability
plot1v2.m....a plot read in by EM1_1.ms for MapleV.2
plot2v2.m....a plot read in by EM1_1.ms for MapleV.2
plot1v3.m....a plot read in by EM1_1.ms for MapleV.3
plot2v3.m....a plot read in by EM1_1.ms for MapleV.3
angles.ms....listing of the procedure angles.m
anglesv2.m...the procedure anglesv2 used in EM1_9.ms for MapleV.2
anglesv3.m...the procedure anglesv3 used in EM1_9.ms for MapleV.3
Calculus/............Directory of worksheets from Part 2 (Calculus) of
Experiments in Mathematics Using Maple
Calculus/answers
EM2_A1.ms.....answers to questions in Chapter 15
EM2_A2.ms.....answers to questions in Chapter 16
EM2_A3.ms.....answers to questions in Chapter 17
EM2_A4.ms.....answers to questions in Chapter 18
EM2_A5.ms.....answers to questions in Chapter 19
EM2_A6.ms.....answers to questions in Chapter 20
EM2_A7.ms.....answers to questions in Chapter 21
EM2_A8.ms.....answers to questions in Chapter 22
EM2_A9.ms.....answers to questions in Chapter 23
Calculus/material
EM2_1.ms.....Chapter 15 Secants and Tangents
EM2_2.ms.....Chapter 16 Sequences and Limits
EM2_3.ms.....Chapter 17 Derivatives of Functions
EM2_4.ms.....Chapter 18 Functions and Graphs
EM2_5.ms.....Chapter 19 Rates
EM2_6.ms.....Chapter 20 Integration
EM2_7.ms.....Chapter 21 Trigonometry
EM2_8.ms.....Chapter 22 Exponentials and Logarithms
EM2_9.ms.....Chapter 23 Polar Coordinates
archimv2.m...an animation archimedes read in by EM2_2.ms for
MapleV.2
archimv3.m...an animation archimedes read in by EM2_2.ms for
MapleV.3
showanv2.m...a procedure showAntiderivativesv2 used by EM2_6.ms for
MapleV.2
showanv3.m...a procedure showAntiderivativesv3 used by EM2_6.ms for
MapleV.3
showant.ms...listing of the procedure showantiderivativesv2 (for
MapleV.2) or showantiderivativesv3 (for MapleV.3)
This version of the worksheets was written for MapleV.3 and last updated
May 5, 1995. If you are using MapleV.2, change the `read' commands in
the
worksheets to read the files created for Release 2.
Bibliography
D.C.M. Burbulla and C.T.J. Dodson. _Self-Tutor for Computer Calculus
Using Maple_, Prentice-Hall Canada Inc., Scarborough 1993.
C.H. Edwards, Jr. and D.E. Penney. _Calculus and Analytic Geometry, 2nd
Ed._, Prentice-Hall, Inc., Englewood Cliffs, New Jersey 1986.
S. Goldenberg and H. Greenwald. _Calculus Applications in Engineering and
Science_, D.C. Heath and Company, Toronto 1990.